DC Field | Value | Language |
---|---|---|
dc.contributor.author | Christensen, Ole | ko |
dc.contributor.author | Kim, Hong Oh | ko |
dc.contributor.author | Kim, Rae Young | ko |
dc.date.accessioned | 2013-03-09T16:49:51Z | - |
dc.date.available | 2013-03-09T16:49:51Z | - |
dc.date.created | 2012-02-06 | - |
dc.date.created | 2012-02-06 | - |
dc.date.issued | 2010-01 | - |
dc.identifier.citation | APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, v.28, no.1, pp.89 - 103 | - |
dc.identifier.issn | 1063-5203 | - |
dc.identifier.uri | http://hdl.handle.net/10203/96906 | - |
dc.description.abstract | Consider a bounded function g supported on [-1, 1] and a modulation parameter b is an element of inverted left perpendicular1/2, 1inverted right perpendicular for which the Gabor system {E(mb)T(n)g}(m,n is an element of Z) is a frame. We show that such a frame always has a compactly supported dual window. More precisely, we show that if b < N/N+1 for some N is an element of N, it is possible to find a dual window supported on [-N, N]. Under the additional assumption that g is continuous and only has a finite number of zeros on inverted left perpendicular-1, 1inverted right perpendicular, we characterize the frame property of {E(mb)T(n)g}(m,n is an element of Z). As a consequence we obtain easily verifiable criteria for a function g to generate a Gabor frame with a dual window having compact support of prescribed size. (C) 2009 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | FRAMES | - |
dc.subject | BASES | - |
dc.title | Gabor windows supported on [-1,1] and compactly supported dual windows | - |
dc.type | Article | - |
dc.identifier.wosid | 000271980900005 | - |
dc.identifier.scopusid | 2-s2.0-70350704809 | - |
dc.type.rims | ART | - |
dc.citation.volume | 28 | - |
dc.citation.issue | 1 | - |
dc.citation.beginningpage | 89 | - |
dc.citation.endingpage | 103 | - |
dc.citation.publicationname | APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | - |
dc.identifier.doi | 10.1016/j.acha.2009.07.004 | - |
dc.contributor.localauthor | Kim, Hong Oh | - |
dc.contributor.nonIdAuthor | Christensen, Ole | - |
dc.contributor.nonIdAuthor | Kim, Rae Young | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Gabor system | - |
dc.subject.keywordAuthor | Gabor frame | - |
dc.subject.keywordAuthor | Dual frame | - |
dc.subject.keywordAuthor | Dual window | - |
dc.subject.keywordPlus | FRAMES | - |
dc.subject.keywordPlus | BASES | - |
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